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Finding the Third Proportional to 89,856 and 137,511

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Solution

The third proportional to 89,856 and 137,511 is: 210,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,856 : 137,511 = 137,511 : x
  2. Step 2: Convert to fraction form
    89,856/137,511 = 137,511/x
  3. Step 3: Cross multiply
    89,856x = 137,511 × 137,511
  4. Step 4: Simplify right side
    89,856x = 18,909,275,121
  5. Step 5: Solve for x
    x = 18,909,275,121/89,856
  6. Step 6: Final answer
    x = 210,439.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.